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Finding the Third Proportional to 76,007.25 and 175,938.75

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Solution

The third proportional to 76,007.25 and 175,938.75 is: 407,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,007.25 : 175,938.75 = 175,938.75 : x
  2. Step 2: Convert to fraction form
    76,007.25/175,938.75 = 175,938.75/x
  3. Step 3: Cross multiply
    76,007.25x = 175,938.75 × 175,938.75
  4. Step 4: Simplify right side
    76,007.25x = 30,954,443,751.56
  5. Step 5: Solve for x
    x = 30,954,443,751.56/76,007.25
  6. Step 6: Final answer
    x = 407,256.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.